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@article{349614, author = {Pavlačková, Martina and Taddei, Valentina}, article_number = {1}, doi = {http://dx.doi.org/10.5817/AM2023-1-99}, keywords = {second-order differential inclusion; nonlocal conditions; Banach spaces; cosine family; approximation solvability method; mild solution}, language = {eng}, issn = {0044-8753}, journal = {Archivum Mathematicum}, title = {Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness}, url = {https://emis.de/journals/AM/23-1/Pavlackova.pdf}, volume = {59}, year = {2023} }
TY - JOUR ID - 349614 AU - Pavlačková, Martina - Taddei, Valentina PY - 2023 TI - Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness JF - Archivum Mathematicum VL - 59 IS - 1 SP - 99-107 EP - 99-107 SN - 00448753 KW - second-order differential inclusion KW - nonlocal conditions KW - Banach spaces KW - cosine family KW - approximation solvability method KW - mild solution UR - https://emis.de/journals/AM/23-1/Pavlackova.pdf N2 - We study the existence of a mild solution to the nonlocal initial value problem for semilinear second-order differential inclusions in abstract spaces. The result is obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the result without any requirements for compactness of the right-hand side or of the cosine family generated by the linear operator. ER -
PAVLAČKOVÁ, Martina a Valentina TADDEI. Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness. \textit{Archivum Mathematicum}. 2023, roč.~59, č.~1, s.~99-107. ISSN~0044-8753. Dostupné z: https://dx.doi.org/10.5817/AM2023-1-99.
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